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Finding the Third Proportional to 156,670.88 and 334,481.06

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Solution

The third proportional to 156,670.88 and 334,481.06 is: 714,093.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,670.88 : 334,481.06 = 334,481.06 : x
  2. Step 2: Convert to fraction form
    156,670.88/334,481.06 = 334,481.06/x
  3. Step 3: Cross multiply
    156,670.88x = 334,481.06 × 334,481.06
  4. Step 4: Simplify right side
    156,670.88x = 111,877,581,171.13
  5. Step 5: Solve for x
    x = 111,877,581,171.13/156,670.88
  6. Step 6: Final answer
    x = 714,093.04

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.